GCF of 5988/593, 9500/855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5988/593, 9500/855 i.e 4/507015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5988/593, 9500/855.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5988/593,9500/855?
Given fractions are 5988/593,9500/855
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5988/593,9500/855, numerators are 5988,9500
Denominators are 593,855
The GCF of 5988,9500 is 4 .
LCM of 593,855 is 507015.
The greatest common factor of 5988/593,9500/855 = [GCF of 5988,9500]/[LCM of 593,855]= 4/507015
Therefore, the GCF of 5988/593,9500/855 is 4/507015.
To find the highest common factor of 5988,9500, we have to find the factors of both numbers and list the highest common factor.
The factors of 5988 are 1, 2, 3, 4, 6, 12, 499, 998, 1497, 1996, 2994, 5988
The factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500
The HCF of 5988,9500 is 4.
Lets's calculate GCF of 5988,9500
| 2 | 5988, 9500 |
| 2 | 2994, 4750 |
| 1497, 2375 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5988,9500 By Matching Biggest Common Factor Method
Now, list down the factors of 5988
:1,2,3,4,6,12,499,998,1497,1996,2994,5988
Now, list down the factors of 9500
:1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500
Greatest Common Factor
We found the factors 5988,9500 . The biggest common factor number is the GCF number.
So the greatest common factor 5988,9500 is 4.
Lets's calculate LCM of 593,855
Given numbers has no common factors except 1. So, there LCM is their product i.e 507015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/507015
Therefore, the GCF of Fractions 5988/593,9500/855 is 4/507015
Least Common Multiple of 593,855 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 593,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,855) x common factors =1 x 1 = 1
LCM(593,855) = ( 593 × 855 ) / 1
LCM(593,855) = 507015 / 1
LCM(593,855) = 507015
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FAQs on GCF of Fractions of 5988/593, 9500/855
1. What is the HCF of 5988,9500?
The HCF of 5988,9500 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5988/593, 9500/855?
Answer: GCF of Numerators as per given numbers 5988/593, 9500/855 is
GCF of Numerators i.e. for 5988,9500 is 4
LCM of denominators i.e. for 593,855 is 507015.
Thus, GCF of Fractions is 4/507015.Finally, GCF of Fractions for 5988/593, 9500/855 is 4/507015.